Make Venn diagrams to verify that the following theorems on sets hold. Use some systematic shading or
Question:
Make Venn diagrams to verify that the following theorems on sets hold. Use some systematic shading or coloring to clearly distinguish the relevant sets.
(a) A n (B U C) = (A fl B) U (A fl C)
(b) (Aflfi)C 1C (A U B)
(c) A - BC A
(d) if A C B and C C D, then (A U C) C (B U D)
(e) if AD Rand CD D, then (Afl C)D (B
f) D)
(f) A n B = A — (A — B)
(g) Ail (B- A) = AUB
(h) A - (A r\B) = A — B
(i) An (B- C) = (Ai) B) — C.
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Related Book For
Statistics Probability Inference And Decision
ISBN: 9780030778056
1st Edition
Authors: Robert L. Winkler, William L. Hays
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